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What is the Least Common Multiple of 18569 and 18582?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18569 and 18582 is 345049158.

LCM(18569,18582) = 345049158

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Least Common Multiple of 18569 and 18582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18569 and 18582, than apply into the LCM equation.

GCF(18569,18582) = 1
LCM(18569,18582) = ( 18569 × 18582) / 1
LCM(18569,18582) = 345049158 / 1
LCM(18569,18582) = 345049158

Least Common Multiple (LCM) of 18569 and 18582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18569 and 18582. First we will calculate the prime factors of 18569 and 18582.

Prime Factorization of 18569

Prime factors of 18569 are 31, 599. Prime factorization of 18569 in exponential form is:

18569 = 311 × 5991

Prime Factorization of 18582

Prime factors of 18582 are 2, 3, 19, 163. Prime factorization of 18582 in exponential form is:

18582 = 21 × 31 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 18569 and 18582.

LCM(18569,18582) = 311 × 5991 × 21 × 31 × 191 × 1631
LCM(18569,18582) = 345049158